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Finding the Fourth Proportional to 32,349.70, 48,190.69 and 31,370.74

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Solution

The fourth proportional to 32,349.70, 48,190.69 and 31,370.74 is: 46,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,349.70 : 48,190.69 = 31,370.74 : x
  2. Step 2: Convert to fraction form
    32,349.70/48,190.69 = 31,370.74/x
  3. Step 3: Cross multiply
    32,349.70x = 48,190.69 × 31,370.74
  4. Step 4: Simplify right side
    32,349.70x = 1,511,777,449.56
  5. Step 5: Solve for x
    x = 1,511,777,449.56/32,349.70
  6. Step 6: Final answer
    x = 46,732.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.